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344882142 = 232119717957
BaseRepresentation
bin10100100011100…
…111101111011110
3220000221211100200
4110203213233132
51201242212032
654120004330
711355310203
oct2443475736
9800854320
10344882142
1116774a070
12976006a6
13565b3897
1433b37caa
152042747c
hex148e7bde

344882142 has 48 divisors (see below), whose sum is σ = 823625712. Its totient is φ = 103426560.

The previous prime is 344882137. The next prime is 344882147. The reversal of 344882142 is 241288443.

344882142 is a `hidden beast` number, since 34 + 488 + 2 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (344882137) and next prime (344882147).

It is a junction number, because it is equal to n+sod(n) for n = 344882097 and 344882106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344882147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10228 + ... + 28184.

It is an arithmetic number, because the mean of its divisors is an integer number (17158869).

Almost surely, 2344882142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344882142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411812856).

344882142 is an abundant number, since it is smaller than the sum of its proper divisors (478743570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344882142 is a wasteful number, since it uses less digits than its factorization.

344882142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18073 (or 18070 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 344882142 is about 18571.0027192933. The cubic root of 344882142 is about 701.2780339008.

The spelling of 344882142 in words is "three hundred forty-four million, eight hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 9603 17957 19206 35914 53871 107742 161613 197527 323226 395054 592581 1185162 1741829 1777743 3483658 3555486 5225487 10450974 15676461 19160119 31352922 38320238 57480357 114960714 172441071 344882142